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Cogito

Geometry · Chapter 7 · Lesson 2

Practice Worksheet

Vectors on the Plane

Direction and distance in one object.

11 problems · about 23 minutes · G-GPE.B.7

NameDate

Figure — use these to answer the problems

The dashed arrow is b again, moved to the tip of a.

Vector a(3, 4) · length 5
Vector b(2, -1) · length 2.24
a + b(5, 3) · length 5.83

a across3

a up4

b across2

b up-1

Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

Magnitude of (8, 15)?
Answer
(1, 3) + (5, 2). x component?
Answer
Same sum. y component?
Answer
Magnitude of (6, 8)?
Answer

Build It Up

The same ideas with more to keep track of.

3 problems

Magnitude of (5, 12)?
Answer
(4, 5) + (−4, −5). x component?
Answer
3 times (2, 4). y component?
Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

Magnitude of (0, 6)?
Answer
Do the x and y parts mix when adding vectors? 1 for yes, 0 for no.
Answer
The Sum
(4, 1) + (2, 6). What is the y component?
Answer
The Length
Magnitude of (9, 12)?
Answer